Textbook ExpertVerified Tutor
9 Nov 2021
Given information
Given that the polar equation .
Step-by-step explanation
Step 1.
Consider that the polar equation .
A rose curve is a graph that is produced from a polar equation in the form of , where and is an integer > 1.
They are called rose curves because the loops that are formed resemble petals. The number of petals that are present will depend on the value of n.
The value of a will determine the length of the petals.
If n is an even integer, then the rose will have 2n petals.
If n is an odd integer, then the rose will have n petals.
Here n is odd so the rose curves will have 5 petals.